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This article is cited in 51 scientific papers (total in 51 papers)
Iterative method for solving nonlinear integral equations describing rolling solutions in string theory
L. V. Zhukovskaya Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We consider a nonlinear integral equation with infinitely many derivatives that appears when a system of interacting open and closed strings is investigated if the nonlocality in the closed string sector is neglected. We investigate the properties of this equation, construct an iterative method for solving it, and prove that the method converges.
Keywords:
string theory, nonlinear integral equation, iterative method.
Received: 21.04.2005 Revised: 17.08.2005
Citation:
L. V. Zhukovskaya, “Iterative method for solving nonlinear integral equations describing rolling solutions in string theory”, TMF, 146:3 (2006), 402–409; Theoret. and Math. Phys., 146:3 (2006), 335–342
Linking options:
https://www.mathnet.ru/eng/tmf2043https://doi.org/10.4213/tmf2043 https://www.mathnet.ru/eng/tmf/v146/i3/p402
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